Answer:
<h2>y = 2.8</h2><h2>x = 14</h2>
Step-by-step explanation:
To solve an equation, we can only have one variable. In this case, we are given the system 2x = 5y + 14. However, we are given the value of x in terms of y. We can substitute 10y in for 2x and solve.
10y = 5y + 14
First, we need to get all the variables on one side of the equation, so we subtract 5y.
5y = 14
Divide by 5
y = 14/5 or 2 4/5 or 2.8
Now for the x part.
2x = x + 14
Subtract 1x
x = 14
Now we check our answer.
2(14) = 5(2.8) + 14
28 = 14 + 14
28 = 28
Because 28 equals 28, our solutions are correct.
Answer:
The distance flown
Step-by-step explanation:
The distance flown is dependent on the speed of the plane
Volume of reg sq. pyramid = vp
vp = 1/3×s^2×h, where s = side and h = height
Volume of cone = vc =1/3×h×pi×r^2
Now we know that h is the same for both, and the cones diameter = s of square base, so radius (r) = 1/2 s
so now vc = 1/3×h×pi×(1/2s)^2
let's remove the same items for both vc and vp
so 1/3 and h
now let's plug an arbitrary number into each:
vc = pi (10/2)^2 = 3.14×25 = 78.54
vp = s^2 = 10^2 = 100
So any square pyramid has slightly more volume than the cone
Answer:
See below
Step-by-step explanation:
Expand L side to get
4n -12 -2n < -10 + 2n simplify L side
2n -12 < -10 +2n subtract 2n from both sides
<u>-12 < -10 </u> <===== so the equation is true for ALL n
(-∞ , + ∞ )